Stability analysis of feedback switched systems with state and switching delays

被引：7

作者：

Zhai, Shidong ^{[1
]}

Yang, Xiao-Song ^{[2
]}

机构：

[1] Huazhong Univ Sci & Technol, Dept Elect & Informat Engn, Sch Math & Stat, Wuhan 430074, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

来源：

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION | 2013年 / 30卷 / 01期

基金：

中国国家自然科学基金;

关键词：

time delay; stability; switching delays; switched linear control systems; TIME-VARYING DELAY; LINEAR-SYSTEMS; CONTROL DESIGN; STABILIZATION; STABILIZABILITY;

D O I：

10.1093/imamci/dns010

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the stability of state feedback switched systems in which delays are present in both feedback state and switching signal of the switched controller. For switched linear control systems with average dwell-time switching signals, by using multiple Lyapunov-like functions and merging switching signal technique, the globally asymptotically stability of an autonomous switched system is obtained. Based on this result, a sufficient condition is provided that guarantees the stability of the closed-loop system under the assumption that some subsystems are stabilizable. Moreover, the condition implies that feedback switched linear systems are robust to both small state delays and small switching delays as well as small linear unmodelled dynamics. A numerical example is presented to illustrate the developed results.

引用

页码：21 / 35

页数：15

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